- Issue 4 Pages 110-
- Issue 3 Pages 80-
- Issue 2 Pages 36-
- Issue 1 Pages 1-
- |<
- <
- 1
- >
- >|
-
Kazufumi Ozawa2023 Volume 33 Issue 3 Pages 80-96
Published: 2023
Released on J-STAGE: September 25, 2023
JOURNAL FREE ACCESSAbstract. The extended inverse interpolation method, developed by the author, is suitable for solving nonlinear scalar equations by fixed length multiple precision arithmetics. The method is free from derivative evaluations of the inverse function, and attempts to gain high efficiency by keeping and using all the information from the previous steps until convergence. The purpose of this paper is to show that the method is most efficient, compared with the extended inverse interpolation methods with derivative evaluations.
View full abstractDownload PDF (771K)
-
Kazuhiro Tsuboi, Takahiro Hoshino2023 Volume 33 Issue 3 Pages 97-109
Published: 2023
Released on J-STAGE: September 25, 2023
JOURNAL FREE ACCESSAbstract. We investigate the optimal angle at which the flight range of a point mass is maximized on the basis of the extended projection model in which the initial speed decreases monotonously with the increase of the projection angle. The cubic equation of the projection angle is derived from the maximization problem of the flight range. Perturbed and asymptotic solutions of the equation are presented by using the singular perturbation method in order to clarify the features of the exact solution. The accuracy of these approximated solutions is evaluated and the dependency of model parameters to the solutions is clarified.
View full abstractDownload PDF (942K)
- |<
- <
- 1
- >
- >|